You already know that the volume of a cuboid is length by its width by its height (l × w × h).
The area of the shaded end of the cuboid (the cross section) is w × h, so you can also say that the volume of a cuboid is:
area of cross section × length
This formula works for all prisms:
Q1. What is the volume of this triangular prism?
Q2. What is the volume of this prism?
A1. volume = area of triangle × length
= ^{1}/_{2}× 2 × 5 × 4
= 20cm^{3}
A2. The area of the cross section is 5cm^{2} and the length is 8cm, so the volume is 5 × 8 = 40 cm^{3}
Remember that the volume is the area of the cross section × the length.
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